What is the Least Common Multiple of 51510 and 51528?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 51510 and 51528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51510 and 51528, than apply into the LCM equation.

GCF(51510,51528) = 6
LCM(51510,51528) = ( 51510 × 51528) / 6
LCM(51510,51528) = 2654207280 / 6
LCM(51510,51528) = 442367880

Least Common Multiple (LCM) of 51510 and 51528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51510 and 51528. First we will calculate the prime factors of 51510 and 51528.

Prime Factorization of 51510

Prime Factorization of 51528

Now multiplying the highest exponent prime factors to calculate the LCM of 51510 and 51528.

LCM(51510,51528) = 2³ × 3¹ × 5¹ × 17¹ × 101¹ × 19¹ × 113¹
LCM(51510,51528) = 442367880